Change of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube VK Nguyen, M Ullrich, T Ullrich Constructive Approximation 46, 69-108, 2017 | 45 | 2017 |
Deep ReLU neural networks in high-dimensional approximation D Dũng, VK Nguyen Neural Networks 142, 619-635, 2021 | 29 | 2021 |
Analyticity and sparsity in uncertainty quantification for PDEs with Gaussian random field inputs D Dũng, VK Nguyen, C Schwab, J Zech arXiv preprint arXiv:2201.01912, 2022 | 23 | 2022 |
Unified analysis of periodization-based sampling methods for Matérn covariances M Bachmayr, IG Graham, VK Nguyen, R Scheichl SIAM Journal on Numerical Analysis 58 (5), 2953-2980, 2020 | 17 | 2020 |
Pointwise multipliers for Sobolev and Besov spaces of dominating mixed smoothness W Sickel, VK Nguyen Journal of Mathematical Analysis and Applications 452 (1), 62-90, 2017 | 14 | 2017 |
On a problem of Jaak Peetre concerning pointwise multipliers of Besov spaces VK Nguyen, W Sickel Studia Mathematica, 2017 | 13 | 2017 |
Weyl numbers of embeddings of tensor product Besov spaces W Sickel, VK Nguyen Journal of Approximation Theory 200, 170-220, 2015 | 12 | 2015 |
Bernstein numbers of embeddings of isotropic and dominating mixed Besov spaces VK Nguyen Mathematische Nachrichten 288 (14-15), 1694-1717, 2015 | 12 | 2015 |
Optimal numerical integration and approximation of functions on ℝd equipped with Gaussian measure D Dũng, V Kien Nguyen IMA Journal of Numerical Analysis 44 (2), 1242-1267, 2024 | 11 | 2024 |
Computation complexity of deep ReLU neural networks in high-dimensional approximation D Dũng, VK Nguyen, MX Thao arXiv preprint arXiv:2103.00815, 2021 | 9 | 2021 |
Gelfand numbers of embeddings of mixed Besov spaces VK Nguyen Journal of Complexity, 2016 | 8 | 2016 |
Weyl and Bernstein numbers of embeddings of Sobolev spaces with dominating mixed smoothness VK Nguyen Journal of Complexity, 2015 | 8 | 2015 |
Pointwise multipliers for Besov spaces of dominating mixed smoothness-II W Sickel, VK Nguyen Science China Mathematics 60 (11), 2241-2262, 2017 | 7 | 2017 |
Isotropic and dominating Mixed Besov spaces-a comparison VK Nguyen, W Sickel Contemporary Mathematics, DOI: https://doi.org/10.1090/conm/693, 2017 | 7 | 2017 |
Best n-term approximation of diagonal operators and application to function spaces with mixed smoothness VK Nguyen, VD Nguyen Analysis Mathematica 48 (4), 1127-1152, 2022 | 5 | 2022 |
Analyticity of parametric elliptic eigenvalue problems and applications to quasi-Monte Carlo methods VK Nguyen Complex Variables and Elliptic Equations 69 (1), 1-21, 2024 | 4 | 2024 |
Deep ReLU neural network approximation in Bochner spaces and applications to parametric PDEs D Dũng, DT Pham Journal of Complexity 79, 101779, 2023 | 4 | 2023 |
Identifiability of diffusion coefficients for source terms of non-uniform sign M Bachmayr, VK Nguyen Inverse Problems and Imaging, 2019, 13(5): 1007-1021, doi: 10.3934/ipi.2019045, 2018 | 4 | 2018 |
Monte Carlo methods for uniform approximation on periodic Sobolev spaces with mixed smoothness G Byrenheid, RJ Kunsch, VK Nguyen Journal of Complexity 46, 90-102, 2018 | 2 | 2018 |
Greedy algorithms and Kolmogorov widths in Banach spaces VK Nguyen Journal of Approximation Theory, 2018 | 2 | 2018 |